{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3b4c2d60",
   "metadata": {},
   "source": [
    "# 程序题将会使用到的python库：\n",
    "## NumPy \n",
    "## SciPy\n",
    "## Matplotlib\n",
    "## SymPy \n",
    "## Pandas\n",
    "## 后续有补充的库将会在提目前具体说明"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "41ed08ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 产生单个弦波Cosine Wave 1\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "# 生成时间序列\n",
    "t = np.arange(0, 1, 0.001)\n",
    "# 计算弦波值\n",
    "y = 3 * np.cos(2 * np.pi * t + 0.5 * np.pi)\n",
    "\n",
    "plt.plot(t, y)\n",
    "plt.title('Cosine Wave')\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "bdbae8eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#第二个单个弦波Cosine Wave 2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "# 生成时间序列\n",
    "t = np.arange(0, 1, 0.001)\n",
    "# 计算弦波的值\n",
    "y1 = 4 * np.cos(2 * np.pi * t + 0.7 * np.pi)\n",
    "\n",
    "plt.plot(t, y1)\n",
    "plt.title('Cosine Wave')\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6ef39148",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#两个弦波的叠加\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "# 计算两个余弦波叠加的值\n",
    "y_sum = y + y1\n",
    "\n",
    "plt.plot(t, y, label='Cosine Wave 1')\n",
    "plt.plot(t, y1, label='Cosine Wave 2')\n",
    "plt.plot(t, y_sum, label='Sum of Cosine Waves')\n",
    "plt.title('Two Cosine Waves and Their Sum')\n",
    "plt.xlabel('Time')\n",
    "plt.ylabel('Amplitude')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:deeplearing]",
   "language": "python",
   "name": "conda-env-deeplearing-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.19"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
